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Finding the Fourth Proportional to 532,126,000.10, 729,000,433.84 and 512,230,878.86

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Solution

The fourth proportional to 532,126,000.10, 729,000,433.84 and 512,230,878.86 is: 701,744,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,126,000.10 : 729,000,433.84 = 512,230,878.86 : x
  2. Step 2: Convert to fraction form
    532,126,000.10/729,000,433.84 = 512,230,878.86/x
  3. Step 3: Cross multiply
    532,126,000.10x = 729,000,433.84 × 512,230,878.86
  4. Step 4: Simplify right side
    532,126,000.10x = 373,416,532,915,184,512
  5. Step 5: Solve for x
    x = 373,416,532,915,184,512/532,126,000.10
  6. Step 6: Final answer
    x = 701,744,573.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.